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Typical Borel measures on $[0,1]d$ satisfy a multifractal formalism
Borel measures Hausdorff dimension Multifractal anal-ysis Baire categories
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2010/11/29
In this article, we prove that in the Baire category sense, measures supported by the unit cube of Rd typically satisfy a multifractal formalism. To achieve this, we compute explicitly the multifracta...
Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures
Statistical convergence A-statistical convergence positive linear operators regular matrices the elements of the Lipschitz class Korovkin-type approximation theorem
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2010/2/26
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using ...